Following [1]}, we fix the values of \(\alpha \) , \(\beta \) , \(C\) ,
and \(l\) . We also constrain our swarm to the plane. We choose \(\alpha =1\) ,
\(\beta =5\) , \(C=\frac{10}{9}\) , \(l=\frac{3}{4}\) . This means that, at long ranges,
\(\nabla _{x_i}U(x_i,x_j)\)  will be attractive, and at short ranges it will be
repulsive (see Fig. REF ). Furthermore, the parameters choice places the swarm
in the region which is defined as "catastrophic" [2]}, meaning that
increasing the number of agents decreases the space between agents, so that
the total size of the swarm approaches a limit in space.
<FIGURE>